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For explanation of the Medjig method, see 6x6 magic square.
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The first grid is a 2x2 'blown up' pure 15x15 magic square. Construct the second grid using 225 Medjig tiles.
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In a (2x2) medjig tile are all the numbers from 0 up to 3, but each
time in a different order. Take care that the sum of the numbers in each row/column/diagonal is (30 x 1,5 =) 45.
Take 1x number from first grid and add 225x number from the same cell of the second grid.
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1x digit from grid with 2x2 'blown up' 15x15 magic square
26 | 26 | 44 | 44 | 32 | 32 | 50 | 50 | 38 | 38 | 201 | 201 | 219 | 219 | 207 | 207 | 225 | 225 | 213 | 213 | 76 | 76 | 94 | 94 | 82 | 82 | 100 | 100 | 88 | 88 |
26 | 26 | 44 | 44 | 32 | 32 | 50 | 50 | 38 | 38 | 201 | 201 | 219 | 219 | 207 | 207 | 225 | 225 | 213 | 213 | 76 | 76 | 94 | 94 | 82 | 82 | 100 | 100 | 88 | 88 |
35 | 35 | 48 | 48 | 36 | 36 | 29 | 29 | 42 | 42 | 210 | 210 | 223 | 223 | 211 | 211 | 204 | 204 | 217 | 217 | 85 | 85 | 98 | 98 | 86 | 86 | 79 | 79 | 92 | 92 |
35 | 35 | 48 | 48 | 36 | 36 | 29 | 29 | 42 | 42 | 210 | 210 | 223 | 223 | 211 | 211 | 204 | 204 | 217 | 217 | 85 | 85 | 98 | 98 | 86 | 86 | 79 | 79 | 92 | 92 |
39 | 39 | 27 | 27 | 45 | 45 | 33 | 33 | 46 | 46 | 214 | 214 | 202 | 202 | 220 | 220 | 208 | 208 | 221 | 221 | 89 | 89 | 77 | 77 | 95 | 95 | 83 | 83 | 96 | 96 |
39 | 39 | 27 | 27 | 45 | 45 | 33 | 33 | 46 | 46 | 214 | 214 | 202 | 202 | 220 | 220 | 208 | 208 | 221 | 221 | 89 | 89 | 77 | 77 | 95 | 95 | 83 | 83 | 96 | 96 |
43 | 43 | 31 | 31 | 49 | 49 | 37 | 37 | 30 | 30 | 218 | 218 | 206 | 206 | 224 | 224 | 212 | 212 | 205 | 205 | 93 | 93 | 81 | 81 | 99 | 99 | 87 | 87 | 80 | 80 |
43 | 43 | 31 | 31 | 49 | 49 | 37 | 37 | 30 | 30 | 218 | 218 | 206 | 206 | 224 | 224 | 212 | 212 | 205 | 205 | 93 | 93 | 81 | 81 | 99 | 99 | 87 | 87 | 80 | 80 |
47 | 47 | 40 | 40 | 28 | 28 | 41 | 41 | 34 | 34 | 222 | 222 | 215 | 215 | 203 | 203 | 216 | 216 | 209 | 209 | 97 | 97 | 90 | 90 | 78 | 78 | 91 | 91 | 84 | 84 |
47 | 47 | 40 | 40 | 28 | 28 | 41 | 41 | 34 | 34 | 222 | 222 | 215 | 215 | 203 | 203 | 216 | 216 | 209 | 209 | 97 | 97 | 90 | 90 | 78 | 78 | 91 | 91 | 84 | 84 |
151 | 151 | 169 | 169 | 157 | 157 | 175 | 175 | 163 | 163 | 101 | 101 | 119 | 119 | 107 | 107 | 125 | 125 | 113 | 113 | 51 | 51 | 69 | 69 | 57 | 57 | 75 | 75 | 63 | 63 |
151 | 151 | 169 | 169 | 157 | 157 | 175 | 175 | 163 | 163 | 101 | 101 | 119 | 119 | 107 | 107 | 125 | 125 | 113 | 113 | 51 | 51 | 69 | 69 | 57 | 57 | 75 | 75 | 63 | 63 |
160 | 160 | 173 | 173 | 161 | 161 | 154 | 154 | 167 | 167 | 110 | 110 | 123 | 123 | 111 | 111 | 104 | 104 | 117 | 117 | 60 | 60 | 73 | 73 | 61 | 61 | 54 | 54 | 67 | 67 |
160 | 160 | 173 | 173 | 161 | 161 | 154 | 154 | 167 | 167 | 110 | 110 | 123 | 123 | 111 | 111 | 104 | 104 | 117 | 117 | 60 | 60 | 73 | 73 | 61 | 61 | 54 | 54 | 67 | 67 |
164 | 164 | 152 | 152 | 170 | 170 | 158 | 158 | 171 | 171 | 114 | 114 | 102 | 102 | 120 | 120 | 108 | 108 | 121 | 121 | 64 | 64 | 52 | 52 | 70 | 70 | 58 | 58 | 71 | 71 |
164 | 164 | 152 | 152 | 170 | 170 | 158 | 158 | 171 | 171 | 114 | 114 | 102 | 102 | 120 | 120 | 108 | 108 | 121 | 121 | 64 | 64 | 52 | 52 | 70 | 70 | 58 | 58 | 71 | 71 |
168 | 168 | 156 | 156 | 174 | 174 | 162 | 162 | 155 | 155 | 118 | 118 | 106 | 106 | 124 | 124 | 112 | 112 | 105 | 105 | 68 | 68 | 56 | 56 | 74 | 74 | 62 | 62 | 55 | 55 |
168 | 168 | 156 | 156 | 174 | 174 | 162 | 162 | 155 | 155 | 118 | 118 | 106 | 106 | 124 | 124 | 112 | 112 | 105 | 105 | 68 | 68 | 56 | 56 | 74 | 74 | 62 | 62 | 55 | 55 |
172 | 172 | 165 | 165 | 153 | 153 | 166 | 166 | 159 | 159 | 122 | 122 | 115 | 115 | 103 | 103 | 116 | 116 | 109 | 109 | 72 | 72 | 65 | 65 | 53 | 53 | 66 | 66 | 59 | 59 |
172 | 172 | 165 | 165 | 153 | 153 | 166 | 166 | 159 | 159 | 122 | 122 | 115 | 115 | 103 | 103 | 116 | 116 | 109 | 109 | 72 | 72 | 65 | 65 | 53 | 53 | 66 | 66 | 59 | 59 |
126 | 126 | 144 | 144 | 132 | 132 | 150 | 150 | 138 | 138 | 1 | 1 | 19 | 19 | 7 | 7 | 25 | 25 | 13 | 13 | 176 | 176 | 194 | 194 | 182 | 182 | 200 | 200 | 188 | 188 |
126 | 126 | 144 | 144 | 132 | 132 | 150 | 150 | 138 | 138 | 1 | 1 | 19 | 19 | 7 | 7 | 25 | 25 | 13 | 13 | 176 | 176 | 194 | 194 | 182 | 182 | 200 | 200 | 188 | 188 |
135 | 135 | 148 | 148 | 136 | 136 | 129 | 129 | 142 | 142 | 10 | 10 | 23 | 23 | 11 | 11 | 4 | 4 | 17 | 17 | 185 | 185 | 198 | 198 | 186 | 186 | 179 | 179 | 192 | 192 |
135 | 135 | 148 | 148 | 136 | 136 | 129 | 129 | 142 | 142 | 10 | 10 | 23 | 23 | 11 | 11 | 4 | 4 | 17 | 17 | 185 | 185 | 198 | 198 | 186 | 186 | 179 | 179 | 192 | 192 |
139 | 139 | 127 | 127 | 145 | 145 | 133 | 133 | 146 | 146 | 14 | 14 | 2 | 2 | 20 | 20 | 8 | 8 | 21 | 21 | 189 | 189 | 177 | 177 | 195 | 195 | 183 | 183 | 196 | 196 |
139 | 139 | 127 | 127 | 145 | 145 | 133 | 133 | 146 | 146 | 14 | 14 | 2 | 2 | 20 | 20 | 8 | 8 | 21 | 21 | 189 | 189 | 177 | 177 | 195 | 195 | 183 | 183 | 196 | 196 |
143 | 143 | 131 | 131 | 149 | 149 | 137 | 137 | 130 | 130 | 18 | 18 | 6 | 6 | 24 | 24 | 12 | 12 | 5 | 5 | 193 | 193 | 181 | 181 | 199 | 199 | 187 | 187 | 180 | 180 |
143 | 143 | 131 | 131 | 149 | 149 | 137 | 137 | 130 | 130 | 18 | 18 | 6 | 6 | 24 | 24 | 12 | 12 | 5 | 5 | 193 | 193 | 181 | 181 | 199 | 199 | 187 | 187 | 180 | 180 |
147 | 147 | 140 | 140 | 128 | 128 | 141 | 141 | 134 | 134 | 22 | 22 | 15 | 15 | 3 | 3 | 16 | 16 | 9 | 9 | 197 | 197 | 190 | 190 | 178 | 178 | 191 | 191 | 184 | 184 |
147 | 147 | 140 | 140 | 128 | 128 | 141 | 141 | 134 | 134 | 22 | 22 | 15 | 15 | 3 | 3 | 16 | 16 | 9 | 9 | 197 | 197 | 190 | 190 | 178 | 178 | 191 | 191 | 184 | 184 |
Â
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+ 225x number from second gridÂ
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 0 | 3 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 3 | 0 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 |
1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 |
0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 |
2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 |
0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 |
2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 |
0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 |
2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 |
0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 |
2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 |
0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 |
2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 |
0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 |
2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 |
Â
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= 30x30 magic square
701 | 26 | 719 | 44 | 707 | 32 | 725 | 50 | 713 | 38 | 876 | 201 | 894 | 219 | 882 | 207 | 900 | 225 | 888 | 213 | 751 | 76 | 769 | 94 | 757 | 82 | 775 | 100 | 763 | 88 |
251 | 476 | 269 | 494 | 257 | 482 | 275 | 500 | 263 | 488 | 426 | 651 | 444 | 669 | 432 | 657 | 450 | 675 | 438 | 663 | 301 | 526 | 319 | 544 | 307 | 532 | 325 | 550 | 313 | 538 |
710 | 35 | 723 | 48 | 711 | 36 | 704 | 29 | 717 | 42 | 885 | 210 | 898 | 223 | 886 | 211 | 879 | 204 | 892 | 217 | 760 | 85 | 773 | 98 | 761 | 86 | 754 | 79 | 767 | 92 |
260 | 485 | 273 | 498 | 261 | 486 | 254 | 479 | 267 | 492 | 435 | 660 | 448 | 673 | 436 | 661 | 429 | 654 | 442 | 667 | 310 | 535 | 323 | 548 | 311 | 536 | 304 | 529 | 317 | 542 |
714 | 39 | 702 | 27 | 720 | 45 | 708 | 33 | 721 | 46 | 889 | 214 | 877 | 202 | 895 | 220 | 883 | 208 | 896 | 221 | 764 | 89 | 752 | 77 | 770 | 95 | 758 | 83 | 771 | 96 |
264 | 489 | 252 | 477 | 270 | 495 | 258 | 483 | 271 | 496 | 439 | 664 | 427 | 652 | 445 | 670 | 433 | 658 | 446 | 671 | 314 | 539 | 302 | 527 | 320 | 545 | 308 | 533 | 321 | 546 |
718 | 43 | 706 | 31 | 724 | 49 | 712 | 37 | 705 | 30 | 893 | 218 | 881 | 206 | 899 | 224 | 887 | 212 | 880 | 205 | 768 | 93 | 756 | 81 | 774 | 99 | 762 | 87 | 755 | 80 |
268 | 493 | 256 | 481 | 274 | 499 | 262 | 487 | 255 | 480 | 443 | 668 | 431 | 656 | 449 | 674 | 437 | 662 | 430 | 655 | 318 | 543 | 306 | 531 | 324 | 549 | 312 | 537 | 305 | 530 |
722 | 47 | 715 | 40 | 703 | 28 | 716 | 41 | 709 | 34 | 897 | 222 | 890 | 215 | 878 | 203 | 891 | 216 | 884 | 209 | 772 | 97 | 765 | 90 | 753 | 78 | 766 | 91 | 759 | 84 |
272 | 497 | 265 | 490 | 253 | 478 | 266 | 491 | 259 | 484 | 447 | 672 | 440 | 665 | 428 | 653 | 441 | 666 | 434 | 659 | 322 | 547 | 315 | 540 | 303 | 528 | 316 | 541 | 309 | 534 |
826 | 151 | 844 | 169 | 832 | 157 | 850 | 175 | 838 | 163 | 776 | 101 | 794 | 119 | 782 | 107 | 800 | 125 | 788 | 113 | 726 | 51 | 744 | 69 | 732 | 57 | 750 | 75 | 738 | 63 |
376 | 601 | 394 | 619 | 382 | 607 | 400 | 625 | 388 | 613 | 326 | 551 | 344 | 569 | 332 | 557 | 350 | 575 | 338 | 563 | 276 | 501 | 294 | 519 | 282 | 507 | 300 | 525 | 288 | 513 |
835 | 160 | 848 | 173 | 836 | 161 | 829 | 154 | 842 | 167 | 785 | 110 | 798 | 123 | 786 | 111 | 779 | 104 | 792 | 117 | 735 | 60 | 748 | 73 | 736 | 61 | 729 | 54 | 742 | 67 |
385 | 610 | 398 | 623 | 386 | 611 | 379 | 604 | 392 | 617 | 335 | 560 | 348 | 573 | 336 | 561 | 329 | 554 | 342 | 567 | 285 | 510 | 298 | 523 | 286 | 511 | 279 | 504 | 292 | 517 |
839 | 164 | 827 | 152 | 845 | 170 | 833 | 158 | 846 | 171 | 789 | 114 | 777 | 102 | 120 | 795 | 783 | 108 | 796 | 121 | 739 | 64 | 727 | 52 | 745 | 70 | 733 | 58 | 746 | 71 |
389 | 614 | 377 | 602 | 395 | 620 | 383 | 608 | 396 | 621 | 339 | 564 | 327 | 552 | 345 | 570 | 333 | 558 | 346 | 571 | 289 | 514 | 277 | 502 | 295 | 520 | 283 | 508 | 296 | 521 |
168 | 843 | 156 | 831 | 174 | 849 | 162 | 837 | 155 | 830 | 118 | 793 | 106 | 781 | 799 | 124 | 112 | 787 | 105 | 780 | 68 | 743 | 56 | 731 | 74 | 749 | 62 | 737 | 55 | 730 |
393 | 618 | 381 | 606 | 399 | 624 | 387 | 612 | 380 | 605 | 343 | 568 | 331 | 556 | 349 | 574 | 337 | 562 | 330 | 555 | 293 | 518 | 281 | 506 | 299 | 524 | 287 | 512 | 280 | 505 |
172 | 847 | 165 | 840 | 153 |